| Base | Representation |
|---|---|
| bin | 10011100100010… |
| … | …11001111100000 |
| 3 | 102102212120222200 |
| 4 | 21302023033200 |
| 5 | 314010220232 |
| 6 | 24142133200 |
| 7 | 4032144105 |
| oct | 1162131740 |
| 9 | 372776880 |
| 10 | 164148192 |
| 11 | 84725a6a |
| 12 | 46b81200 |
| 13 | 28013910 |
| 14 | 17b2caac |
| 15 | e62677c |
| hex | 9c8b3e0 |
164148192 has 144 divisors (see below), whose sum is σ = 532481040. Its totient is φ = 47517696.
The previous prime is 164148181. The next prime is 164148197. The reversal of 164148192 is 291841461.
164148192 is a `hidden beast` number, since 1 + 641 + 4 + 8 + 1 + 9 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (164148197) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62359 + ... + 64937.
It is an arithmetic number, because the mean of its divisors is an integer number (3697785).
Almost surely, 2164148192 is an apocalyptic number.
164148192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 164148192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266240520).
164148192 is an abundant number, since it is smaller than the sum of its proper divisors (368332848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
164148192 is a wasteful number, since it uses less digits than its factorization.
164148192 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2625 (or 2614 counting only the distinct ones).
The product of its digits is 13824, while the sum is 36.
The square root of 164148192 is about 12812.0330939317. The cubic root of 164148192 is about 547.5351875802.
The spelling of 164148192 in words is "one hundred sixty-four million, one hundred forty-eight thousand, one hundred ninety-two".
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